Grace spends 1\5 of her pocket money on transport and2\3 in food . What is the fraction left
1/5 = 3/15
2/3 = 10/15
3/15 + 10/15 = 13/15
that leaves only 2/15
To find the fraction of pocket money left, we need to subtract the fractions spent from the total pocket money.
Grace spends 1/5 of her pocket money on transport.
She spends 2/3 of her pocket money on food.
To find the fraction of pocket money left, we need to subtract 1/5 + 2/3 from 1.
1 - 1/5 - 2/3
To add these fractions, we need to find a common denominator.
The least common multiple (LCM) of 5 and 3 is 15.
1 - 1/5 - 2/3 = (3/3) - (1/5)(3/3) - (2/3)(5/5)
= 3/3 - 3/15 - 10/15
= (3 - 3 - 10)/15
= (-10)/15
= -2/3
The result is -2/3.
This means that there is a deficit of 2/3 of her pocket money, as she has spent more than she has.
To find the fraction of pocket money left, we need to subtract the fractions spent on transport and food from 1 (since 1 represents the whole amount of pocket money).
Step 1: Calculate the fraction spent on transport.
The fraction spent on transport is 1/5.
Step 2: Calculate the fraction spent on food.
The fraction spent on food is 2/3.
Step 3: Subtract the fractions spent on transport and food from 1 to find the fraction left.
1 - 1/5 - 2/3
To subtract the fractions, we need to find a common denominator. The least common multiple of 5 and 3 is 15.
(15/15) - (3/15) - (10/15)
Now we can subtract the fractions:
(15 - 3 - 10)/15
= 2/15
Therefore, the fraction of pocket money left is 2/15.